On the Dirichlet problem associated with bounded perturbations of positively-\((p, q)\)-homogeneous Hamiltonian systems
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Publication:2087424
DOI10.1007/s11784-022-00980-7OpenAlexW4296968849MaRDI QIDQ2087424
Andrea Sfecci, Franco Obersnel, Alessandro Fonda, Giuliano Klun
Publication date: 20 October 2022
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-022-00980-7
lower and upper solutionsHamiltonian systemsdegree theoryshooting methodDirichlet boundary value problems
Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
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Cites Work
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- Periodic solutions of second-order differential equations in Hilbert spaces
- Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
- Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order
- Some remarkable sine and cosine functions
- Existence and localization of solutions of second order elliptic problems using lower and upper solutions in the reversed order
- The method of lower and upper solutions for systems of boundary value problems
- Il problema dei valori ai limiti studiato in grande per le equazioni differenziali del secondo ordine
- Unstable periodic solutions of a parabolic problem in the presence of non-well-ordered lower and upper solutions
- An introduction to nonlinear boundary value problems
- Multiplicity of positive solutions for a \((p_1,p_2)\)-Laplacian system and its applications
- A dynamical approach to lower and upper solutions for planar systems. ``To the memory of Massimo Tarallo
- Well-ordered and non-well-ordered lower and upper solutions for periodic planar systems
- Two-point boundary value problems for planar systems: a lower and upper solutions approach
- Double resonance in Sturm-Liouville planar boundary value problems
- Generalized Sturm Liouville boundary conditions for first order differential systems in the plane
- Multiplicity results for asymptotically linear equations, using the rotation number approach
- Two-point boundary value problems. Lower and upper solutions
- Existence of periodic solutions of a class of planar systems
- Resonant Sturm-Liouville boundary value problems for differential systems in the plane
- Non-ordered lower and upper solutions in semilinear elliptic problems
- Multiplicity results for some two-point superlinear asymmetric boundary value problem
